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6105913344 = 211322911423
BaseRepresentation
bin1011010111111000…
…01101100000000000
3120202112100112110200
411223330031200000
5100001103211334
62445514525200
7304211256426
oct55374154000
916675315420
106105913344
1126536a1083
121224a36800
13763cccc9b
1441ccdd116
1525b0a9799
hex16bf0d800

6105913344 has 144 divisors (see below), whose sum is σ = 18244699200. Its totient is φ = 1964949504.

The previous prime is 6105913313. The next prime is 6105913361. The reversal of 6105913344 is 4433195016.

6105913344 is a `hidden beast` number, since 61 + 0 + 591 + 3 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6105913299 and 6105913308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528817 + ... + 540239.

It is an arithmetic number, because the mean of its divisors is an integer number (126699300).

Almost surely, 26105913344 is an apocalyptic number.

6105913344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122349600).

6105913344 is an abundant number, since it is smaller than the sum of its proper divisors (12138785856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6105913344 is a wasteful number, since it uses less digits than its factorization.

6105913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6105913344 is about 78140.3438948153. The cubic root of 6105913344 is about 1827.7503629277.

The spelling of 6105913344 in words is "six billion, one hundred five million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2048 2088 2304 2784 3072 3712 4176 4608 5568 6144 7424 8352 9216 11136 11423 14848 16704 18432 22272 22846 29696 33408 34269 44544 45692 59392 66816 68538 89088 91384 102807 133632 137076 178176 182768 205614 267264 274152 331267 365536 411228 534528 548304 662534 731072 822456 993801 1096608 1325068 1462144 1644912 1987602 2193216 2650136 2924288 2981403 3289824 3975204 4386432 5300272 5848576 5962806 6579648 7950408 8772864 10600544 11697152 11925612 13159296 15900816 17545728 21201088 23394304 23851224 26318592 31801632 35091456 42402176 47702448 52637184 63603264 70182912 84804352 95404896 105274368 127206528 169608704 190809792 210548736 254413056 339217408 381619584 508826112 678434816 763239168 1017652224 1526478336 2035304448 3052956672 6105913344